All categories

2 years ago

Is 9x^2 - 12x + 4 a perfect square? Why?

Mathematics

2 answers:

Ksenya-84 [330]2 years ago

8 0

Answer:

Because it is equal to (3x - 2)^2.

Step-by-step explanation:

If we factor we'll see why:

9x^2 - 12x + 4

To factor we can use the 'ac' method:

Multiplying the leading coefficient by the constant term: 9 * 4 = 36.

We need 2 numbers whose product is 36 and whose sum is -12:

These are -6 and -6 so we write:

9x^2 - 6x - 6x + 4

Factor by grouping:

= 3x(3x - 2) - 2(3x - 2)

= (3x - 2)(3x - 2)

= (3x - 2)^2 which is a perfect square.

Yuki888 [10]2 years ago

4 0

Answer:

Yes

Step-by-step explanation:

9x^2-12x+4 can be factored to (3x-2)(3x-2). If you use the FOIL method, 3x times 3x gives you 9x^2, 3x times -2 gives you -6x, -2 times 3x gives you -6x (-6x + -6x gives you -12), and lastly -2 times -2 gives you 4.

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Step-by-step explanation:

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3 years ago

Which answer describes the simpler problems that could be used to solve this story problem?

puteri [66]

B. Calculate how many pieces of fruit go into each bag. Multiply this by the number of students going on the trip.

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3 years ago

Rampur Sarpanch requested one of his villager to donate a 6m wide land adjusted to his 132.8m long side of his right triangular

Furkat [3]

Answer:

The answer is 3030.72 m³

Step-by-step explanation:

Please refer to attached file for graphical representation.

Formulas used:

Area = (a*b)/2

Trigonometry: Tan (t) = opposite/adjacent

Assume:

Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B

Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x

Angle common between them is t.

Step 1:

For t:

Tan (t) = a/b

Tan (t) = 123/50

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Step 2:

For y:

Tan (t) = y/x

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Step 3:

Villagers old plot area: B = (a*b)/2 = (123*50)/2

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Step 4:

Plot donated area: C = (x*y)/2 = (6*14.76)/2

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Step 5:

Villager remaining plot:

A = B-C

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Download docx

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Dale says the ratios 3:5 and 2:10 are equivalent. Is He correct? Explain

Mnenie [13.5K]

Answer:

No, Dale Isn't correct because 3:5 is greater than 2:10

Step-by-step explanation:

3:5 and 2:10 is the same as in $\frac{3}{5}$ and $\frac{2}{10}$

First Find the least common denominator or LCM of the two denominators:

LCM of 5 and 10 is 10

Next, find the equivalent fraction of both fractional numbers with denominator 10

For the 1st fraction, since 5 × 2 = 10,

$\frac{3}{5} =\frac{3*2}{5*2} =\frac{6}{10}$

Likewise, for the 2nd fraction, since 10 × 1 = 10,

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Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

$\frac{6}{10} >\frac{2}{10} Or\frac{3}{5} >\frac{2}{10}$

Hence, $\frac{3}{5}$ is Greater than $\frac{2}{10}$

Hence, 3:5 is Greater than 2:10

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2 years ago